2(t-7)=(4-t)(-5)

Solution for 2(t-7)=(4-t)(-5) equation:

Simplifying
2(t + -7) = (4 + -1t)(-5)

Reorder the terms:
2(-7 + t) = (4 + -1t)(-5)
(-7 * 2 + t * 2) = (4 + -1t)(-5)
(-14 + 2t) = (4 + -1t)(-5)

Reorder the terms for easier multiplication:
-14 + 2t = -5(4 + -1t)
-14 + 2t = (4 * -5 + -1t * -5)
-14 + 2t = (-20 + 5t)

Solving
-14 + 2t = -20 + 5t

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '-5t' to each side of the equation.
-14 + 2t + -5t = -20 + 5t + -5t

Combine like terms: 2t + -5t = -3t
-14 + -3t = -20 + 5t + -5t

Combine like terms: 5t + -5t = 0
-14 + -3t = -20 + 0
-14 + -3t = -20

Add '14' to each side of the equation.
-14 + 14 + -3t = -20 + 14

Combine like terms: -14 + 14 = 0
0 + -3t = -20 + 14
-3t = -20 + 14

Combine like terms: -20 + 14 = -6
-3t = -6

Divide each side by '-3'.
t = 2

Simplifying
t = 2